Research Article
Dec 1981
Non-Normal Dependent Vectors in Structural Safety
Authors: Michael Hohenbichler and Rüdiger RackwitzAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 107, Issue 6
Abstract
A general probability distribution transformation is developed with which complex structural reliability problems involving non-normal, dependent uncertainty vectors can be reduced to the standard case of first-order-reliability, i.e. the problem of determining the failure probability or the reliability index isn the space of independent, standard normal variates. The method requires the knowledge of the joint cumulative distribution function or a certain set of conditional distribution functions of the original vector. Some basic properties of the transformation are discussed. Details of the transformation technique are given. Approximations must be introduced for the shape of the safe domain such that its probability content can easily be evaluated which may involve numerical inversion of distribution functions. A suitable algorithm for computing reliability measures is proposed. The field of potential applications is indicated by a number of examples.
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Published In
Journal of the Engineering Mechanics Division
Volume 107 • Issue 6 • December 1981
Pages: 1227 - 1238
Copyright
© 1981 American Society of Civil Engineers.
History
Published in print: Dec 1981
Published online: Feb 3, 2021
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Authors
Affiliations
Michael Hohenbichler
Diplom-Mathematiker, Research Asst., Institut f ü r Massivbau, Technical University of Munich, Munich, West Germany
Rüdiger Rackwitz
Doctor-Ingeneer, Research Assoc., Institut f ü r Massivbau, Technical University of Munich, Munich, West Germany
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